Access by Xinjiang University

Role of the $a_{1} (1260)$ resonance in multipion decays of light vector mesons

Laboratory of Theoretical Physics, S. L. Sobolev Institute for Mathematics, 630090, Novosibirsk, Russian Federation

^*Electronic address: achasov@math.nsc.ru
^†Electronic address: kozhev@math.nsc.ru

Phys. Rev. D 71, 034015 – Published 15 February, 2005

DOI: https://doi.org/10.1103/PhysRevD.71.034015

Abstract

The contribution of the $a_{1} (1260)$ meson to the amplitudes of the decays $ρ (770) \to 4 π$ , $ω (782) \to 5 π$ , and $ϕ (1020) \to 5 π$ is analyzed in the chiral model of pseudoscalar, vector, and axial vector mesons based on the generalized hidden local symmetry added with the anomalous terms. The analysis shows that inclusion of $a_{1}$ meson in the intermediate states results in enhancement of the branching ratios of the above decays by the factor ranging from 1.3 to 1.9 depending on the mass of $a_{1}$ meson ranging from 1.23 GeV to $m_{a_{1}} = m_{ρ} \sqrt{2} = 1.09 G e V$ , the greater factor standing in case of lower mass of the $a_{1}$ .

Article Text

References (27)

S. Weinberg, Physica A (Amsterdam) 96, 327 (1979).
Y. Nambu and G. Jona-Lasinio, Phys. Rev. 122, 345 (1961); 124, 246 (1961).
J. Goldstone, Nuovo Cimento 19, 164 (1961); J. Goldsone, A. Salam, and S. Weinberg, Phys. Rev. 127, 965 (1962).
S. Weinberg, Phys. Rev. 166, 1568 (1968).
S. Coleman, J. Wess, and B. Zumino, Phys. Rev. 177, 2239 (1969); C. G. Callan, S. Coleman, J. Wess, and B. Zumino, 177, 2247 (1969).
J. Wess and B. B. Zumino, Phys. Lett. B 37, 95 (1971).
Ö. Kaymakcalan, S. Rajeev, and J. Schechter, Phys. Rev. D 30, 594 (1984).
Ulf-G. Meissner, Phys. Rep. 161, 213 (1988).
M. Bando, T. Kugo, and K. Yamawaki, Phys. Rep. 164, 217 (1988).
M. C. Birse, Z. Phys. A 355, 231 (1996).
M. Harada and K. Yamawaki, Phys. Rep. 381, 1 (2003).
M. Bando, T. Kugo, and S. Uehara et al., Phys. Rev. Lett. 54, 1215 (1985).
L. Bányai and V. Rittenberg, Phys. Rev. 184, 1903 (1969).
A. Bramon, A. Grau, and G. Pancheri, Phys. Lett. B 317, 190 (1993).
S. I. Eidelman, Z. K. Silagadze, and E. A. Kuraev, Phys. Lett. B 346, 186 (1995).
R. S. Plant and M. C. Birse, Phys. Lett. B 365, 292 (1996).
N. N. Achasov and A. A. Kozhevnikov, Phys. Rev. D62, 056011 (2000); Zh. Eksp. Teor. Fiz. 91, 499 (2000); JETP 91, 433 (2000).
N. N. Achasov and A. A. Kozhevnikov, Phys. Rev. D68, 074009 (2003).
N. N. Achasov and A. A. Kozhevnikov, Phys. Rev. D61, 077904 (2000); Phys. Lett. B 480, 257 (2000); Pisma ZhETF 71, 401 (2000) JETP Lett. 71, 277 (2000).
N. N. Achasov and A. A. Kozhevnikov, Pis'ma Zh. Eksp. Teor. Fiz. 79, 16 (2004); JETP Lett. 79, 13 (2004).
M. Bando, T. Fujiwara, and K. Yamawaki, Prog. Theor. Phys. 79, 1140 (1988).
K. Kawarabayashi and M. Suzuki, Phys. Rev. Lett. 16, 255 (1966); Riazzuddin and Fayyazuddin, Phys. Rev. 147, 1071 (1966).
S. Weinberg, Phys. Rev. Lett., 18, 507 (1967).
Note that the second of the diagrams Fig. 3(c) does not contribute, provided the condition Eq. (2.14) is satisfied. However, we keep here the total set of the diagrams, because it makes possible to study the effect of the relaxing the above constrain and, in turn, to estimate the accuracy of the model dependence upon the free parameters $c_{1, 2, 3}$ in the case of the $ω \to 5 π$ decay and the analogous parameters in the case of the $ϕ \to 5 π$ decay. See Ref. [18] for more detail.
S. I. Eidelman et al., Phys. Lett. B 592, 1 (2004).
R. Kumar, Phys. Rev. 185, 1865 (1969).
KLOE Collaboration, A. Passeri, hep-ex/0305108.

Physical Review D

Export citation

Export citation

Role of the $a_{1} (1260)$ resonance in multipion decays of light vector mesons

Abstract

Article Text

References (27)

Outline

Information

Filter

Filter

Article Lookup

Enter a citation

Role of the a1(1260) resonance in multipion decays of light vector mesons

Abstract

Article Text

References (27)

Role of the $a_{1} (1260)$ resonance in multipion decays of light vector mesons